Sharp Rellich–Leray inequality with any radial power weight for solenoidal fields

نویسندگان

چکیده

In the previous work Hamamoto (Calc Var Partial Differ Equ 58(4):23, 2019), following from an idea of Costin–Maz’ya (Costin and Maz’ya in Calc 32(4):523–532, 2008), we computed best constant Rellich–Leray inequality for axisymmetric solenoidal fields, including any radial power weight. present paper, recompute it without such a symmetry assumption. As result, turns out that same fields is distinct one unconstrained only when weight exponent stays within bounded range.

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ژورنال

عنوان ژورنال: Calculus of Variations and Partial Differential Equations

سال: 2021

ISSN: ['0944-2669', '1432-0835']

DOI: https://doi.org/10.1007/s00526-021-01956-0